Numerical study of the geometry of the phase space of the Augmented Hill Three-Body problem

DOI10.1007/S10569-017-9762-ZzbMath1375.70029OpenAlexW2606816177MaRDI QIDQ1682179

Àngel Jorba, Ariadna Farrés, Josep Maria Mondelo González

Publication date: 28 November 2017

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2445/123692

zbMATH Keywords

periodic orbitsinvariant tori1:1 resonancecentre manifoldsHill 3-Body problem

Mathematics Subject Classification ID

Three-body problems (70F07) Orbital mechanics (70M20) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Dynamical systems methods for problems in mechanics (70G60)

Related Items (4)

Dynamical structures in a low-thrust, multi-body model with applications to trajectory design ⋮ Structure of the centre manifold of the \(L_1\), \(L_2\) collinear libration points in the restricted three-body problem ⋮ Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems ⋮ Coulomb spacecraft formation flying: equilibrium points, periodic orbits, and center manifolds

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